Kabul and several other provinces of Afghanistan have been rocked by deadly violence, including bombings, rocket attacks and targeted killings in recent months.
The group has modified its aims to try and pose a new challenge to the Pakistani state which has so far succeeded in pushing it underground.
The estranged Pakistani Taliban leaders shunned their differences in light of Daesh's growing foothold and joint anti-terror operations by the US, Pakistan and Afghanistan.
Taliban orders fighters to observe three-day ceasefire in Afghanistan for Eid al Adha holiday, starting on Friday, as President Ghani says peace talks with insurgents could begin in seven days.
They were travelling in a car and stopped at a Taliban checkpoint on the road, Paktia governor spokesman Abdullah Hasrat said. The Taliban has long targeted the judiciary in retaliation for harsh sentences given to their fighters.
As civilians prepare to head to the polls on Saturday, few expect the presidential election will have much effect in bringing peace to the war-torn country.
Afghan President Ashraf Ghani's comments come as the country marks a subdued 100th Independence Day and mourns at least 63 people killed in a bombing in Kabul claimed by a local Daesh-affiliate.
Afghanistan's security agency said a Taliban hideout was targeted and there were no civilian casualties. Civilian deaths have been increasing as the US and Taliban attempt to negotiate an agreement to end the 18-year war.
At least 105 people, including 51 children, wounded in Taliban-claimed car bomb attack outside a Defense Ministry building.
The pre-dawn assault in Helmand province's Shorab military base, one of the largest military installations in the country, also left at least 20 insurgents dead, officials say.
Taliban members want to live with other Afghans and "tolerate one another and start life like brothers," Shaheen Suhail, spokesman for the group's political office in Qatar says.
Spokesman of Afghan Taliban says its delegation is meeting US representatives again in Abu Dhabi for talks. Meanwhile, Pakistan's PM Imran Khan says Islamabad "helped" in dialogue between both sides.
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